What are the solutions to the equation 7x^2=23x ?

The solutions to the equation 7x^2=23x are x=0,x= 23/7

Find the zeros of 7x^2=23x

The zeros of 7x^2=23x are x=0,x= 23/7

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7 x^{2} = 23 x

x = 0, x = \frac{23}{7}

Decimal Notation

x = 0, x = 3.28571 \dots

Solution steps

7 x^{2} = 23 x

Move

23 x

to the left side

7 x^{2} - 23 x = 0

Factor

7 x^{2} - 23 x : x (7 x - 23)

x (7 x - 23) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 7 x - 23 = 0

Solve

7 x - 23 = 0 : x = \frac{23}{7}

The solutions to the quadratic equation are:

x = 0, x = \frac{23}{7}

4 x^{2} + 16 x = 0

x^{2} + \frac{x}{2} - \frac{1}{2} = 0

x^{2} + 27 = - 11 x + 3

7 x^{2} - 19 x - 936 = 0

2 x^{2} - 16 x + 13

What are the solutions to the equation 7x^2=23x ?
The solutions to the equation 7x^2=23x are x=0,x= 23/7
Find the zeros of 7x^2=23x
The zeros of 7x^2=23x are x=0,x= 23/7